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Finding the Fourth Proportional to 119,894.92, 165,521.28 and 72,160

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Solution

The fourth proportional to 119,894.92, 165,521.28 and 72,160 is: 99,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,894.92 : 165,521.28 = 72,160 : x
  2. Step 2: Convert to fraction form
    119,894.92/165,521.28 = 72,160/x
  3. Step 3: Cross multiply
    119,894.92x = 165,521.28 × 72,160
  4. Step 4: Simplify right side
    119,894.92x = 11,944,015,564.80
  5. Step 5: Solve for x
    x = 11,944,015,564.80/119,894.92
  6. Step 6: Final answer
    x = 99,620.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.